Properties of the Number 24684

Twenty-Four Thousand Six Hundred Eighty-Four

Basics

Value: 24683 → 24684 → 24685

Parity: even

Prime: No

Previous Prime: 24683

Next Prime: 24691

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 11 ² × 17

Divisors: 1, 2, 3, 4, 6, 11, 12, 17, 22, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110000001101100

Octal: 60154

Duodecimal: 12350

Hexadecimal: 606c

Square: 609299856

Square Root: 157.1114254279427

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31173

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A220153

Number of triples (w,x,y) with all terms in {0,...,n} and w >= floor((x+y)/3). A212972

a(n) = A273059(4n+1). A275917

a(n) = 14641·n² - 24684·n + 10405. A157442

a(n) = 18n³ + 6n². A87887

Number of nX4 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX4 array. A220149

Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k horizontal segments (n>=2, k>=1). A horizontal segment is a maximal sequence of adjacent horizontal steps (1,0). A274486

Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 6Xn array. A220158

Numbers k such that (88·10^k - 1)/3 is prime. A293537